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Message: <blockquote data-quote="nycdan" data-source="post: 2668324" data-attributes="member: 37742">Math!Okay, let me settle the math issue here for you guys.  You've all been great help to me with rule interpretations so I'm glad to find a way to give back.To determine the AVERAGE number of uses of a wand as you described is easily done in Excel.First take the d20 series.  You have a 95% of NOT rolling a 1 (19/20).  Keep multiplying (19/20) times itself until your number drops below .5.  This is the roll that, on average, you will get a 1.  In the case of a d20, you get 14 rolls (the real average is between 13 and 14, but I'm rounding for ease of interpretation).Next comes the d12.  You have an 11/12 chance to NOT roll a 1.  Multiply this number by itself until you get below .5  This adds 8 rolls.The d10 adds 7 more rolls and the d8 adds 6 more rolls.Adding these up, you get a total of 35 rolls.  The real average is slightly less, probably between 33 and 34 but this is close enough.  It's overall, a little short of 50 uses on average.  If you want to get to 50, you can do it by adding up the rolls for each die until you reach 50.  For example, if your progression went d20, d20, d20, d12, you would get 14 + 14 + 14 + 8 which equals 50.  You can create an average of almost any number by summing up the numbers provided in some combination.Hope this helps.  Good luck!-Dan</blockquote>